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Finding the Fourth Proportional to 179,678, 269,515.92 and 46,557.92

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Solution

The fourth proportional to 179,678, 269,515.92 and 46,557.92 is: 69,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,678 : 269,515.92 = 46,557.92 : x
  2. Step 2: Convert to fraction form
    179,678/269,515.92 = 46,557.92/x
  3. Step 3: Cross multiply
    179,678x = 269,515.92 × 46,557.92
  4. Step 4: Simplify right side
    179,678x = 12,548,100,642.09
  5. Step 5: Solve for x
    x = 12,548,100,642.09/179,678
  6. Step 6: Final answer
    x = 69,836.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.